Turning a Sphere Inside Out

Turning a Sphere Inside Out (1979)

Unfolding the impossible: turning a sphere inside out, without a single crease.

  • Genre: Documentary
  • Release Date: 1979-01-01
  • Runtime: 0h 22min
  • Language: English
  • Production Company: The Topology Films Project
  • Production Country: United States of America
  • Director: Nelson Max

Summary

This video is about the problem of turning a sphere inside out, by passing the surface through itself, without making any holes or creases. Mathematicians believed the problem to be unsolvable until 1958, when Stephen Smale proved otherwise. The motion of turning a sphere inside out, called a regular homotopy, is extremely difficult to visualize. The homotopy in this film was developed by Bernard Morin, a blind mathematician. The motion is illustrated with a sequence of chicken-wire models, built by Charles Pugh, showing the crucial stages in the motion. Commentary is provided by mathematicians Nelson L. Max, Stephen Smale, and Charles Pugh, and by physicist Judith Bregmann.

Turning a Sphere Inside Out Trailer

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  • Nelson Max

    as Self
  • Stephen Smale

    as Self
  • Charles Pugh

    as Self
  • Judith Bregman

    as Self
Directing Nelson Max Director
Visual Effects Charles Pugh Modeling
Art James Blinn Graphic Designer
Visual Effects Nelson Max Animation
Visual Effects William Clifford, Jr Animation

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